CX3 support both gated clock mode and continuous clock mode. For supporting the continuous clock mode you have to make some modifications in the CX3 firmware which is documented in the kba91295.
Please refer question no:13.
I know CX3 support continuous mode, but like I asked in my 3rd question, I'm wondering if CX3 need the initial LP-HS transition to activate the clock receiver.
if the clock is in continuous clock mode, LP-HS transition only happen once, clock does not switch back to LP between lines or frames.